"I don't have any particular recipe for developing new proofs. It is like being lost in a jungle and trying to use all the knowledge you can gather to come up with new tricks. With some luck, you might find a way out.” — Maryam Mirzakhani
"I don't have any particular recipe for developing new proofs. It is like being lost in a jungle and trying to use all the knowledge you can gather to come up with new tricks. With some luck, you might find a way out.” — Maryam Mirzakhani
Representation Theory of Finite Groups; Group Algebras; Computational and Combinatorial Methods in Group Theory.
Preprints:
R. K. Choudhary and S. Panja, Wedderburn decomposition of the rational group algebras of SL₂(q) and PSL₂(q), arXiv preprint. https://doi.org/10.48550/arXiv.2604.16078
R. K. Choudhary, Classification of GVZ and Nested GVZ p-groups up to Order p⁶, arXiv preprint. https://doi.org/10.48550/arXiv.2603.27669
Published:
R. K. Choudhary and S. K. Prajapati, A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ p-groups, Journal of Algebraic Combinatorics, 63 (3) (2026), Paper No. 39. https://doi.org/10.1007/s10801-026-01527-6
R. K. Choudhary and S. K. Prajapati, On Matrix Representations of Groups of Order p⁵ over ℚ, Journal of Group Theory. https://doi.org/10.1515/jgth-2025-0120
R. K. Choudhary and S. K. Prajapati, A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras and the Rational Representations of Ordinary Metacyclic p-groups, Algebras and Representation Theory 29 (1) (2026), 85–109. https://doi.org/10.1007/s10468-025-10371-4
R. K. Choudhary and S. K. Prajapati, Rational Group Algebras of Camina p-groups, Archiv der Mathematik 125 (3) (2025), 247–258. https://doi.org/10.1007/s00013-025-02142-w
R. K. Choudhary and S. K. Prajapati, A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras of Split Metacyclic p-groups, Journal of Algebra and Its Applications 25 (8) (2026), Paper No. 2650068. https://doi.org/10.1142/S0219498826500684
R. K. Choudhary and S. K. Prajapati, Rational Representations and Rational Group Algebra of VZ p-groups, Journal of the Australian Mathematical Society 118 (1) (2025), 1–30. https://doi.org/10.1017/S1446788724000132